matita/tests/tinycals.ma

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  14
  15 set "baseuri" "cic:/matita/test/tinycals".
  16
  17 theorem prova:
  18   \forall A,B:Prop.
  19   \forall H:A \to A \to A \to A \to A \to B.A \to B.
  20 intros.
  21 apply H;
  22   [assumption
  23   |3,5:assumption;
  24   |4:assumption
  25   |*:assumption
  26   ]
  27 qed.
  28
  29 theorem prova1:
  30   \forall A,B:Prop.
  31   \forall H:A \to A \to A \to A \to A \to B.A \to B.
  32 intros.
  33 apply H;
  34   [*:assumption]
  35 qed.
  36
  37 include "logic/connectives.ma".
  38
  39 theorem prova2:
  40   \forall A,B:Prop.
  41   \forall H:A \to A \to A \to (A \land A) \to A \to B.A \to B.
  42 intros.
  43 apply H;
  44   [2:assumption
  45   |4:split.assumption
  46   |3,5:assumption
  47   |*:assumption
  48   ]
  49 assumption.
  50 qed.
  51